Let G denote the group of all 2 2 invertible matrices with entries from R....

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Let G denote the group of all 2 × 2 invertible matrices with entries from R. H₁ = {A = G||A|=1} and H₂ = {A = G|A is invertible upper triangular matrix such that a₁ = 1}. Consider the following statements: P: H, is normal subgroup of G Q: H₂ is normal subgroup of G Then, Both P and Q are true P is true and Q is false P is false and Q is true Both P and Q are false Let G denote the group of all 2 × 2 invertible matrices with entries from R. H₁ = {A = G||A|=1} and H₂ = {A = G|A is invertible upper triangular matrix such that a₁ = 1}. Consider the following statements: P: H, is normal subgroup of G Q: H₂ is normal subgroup of G Then, Both P and Q are true P is true and Q is false P is false and Q is true Both P and Q are false

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